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Functoriality of the Coniveau Filtration

Published online by Cambridge University Press:  20 November 2018

Donu Arapura
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A. e-mail: (Arapura) dvb@math.purdue.edu e-mail: (Kang) sjkang@math.purdue.edu
Su-Jeong Kang
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, U.S.A. e-mail: (Arapura) dvb@math.purdue.edu e-mail: (Kang) sjkang@math.purdue.edu
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Abstract

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It is shown that the coniveau filtration on the cohomology of smooth projective varieties is preserved up to shift by pushforwards, pullbacks and products.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2007

References

[A] Arapura, D., Hodge cycles on some moduli spaces. preprint (2002)Google Scholar
[D] Deligne, P., Théorie de Hodge. III.. Inst. Hautes tudes Sci. Publ. Math. 44(1974), 577.Google Scholar
[F1] Fulton, W., Intersection Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete 2, Springer-Verlag, Berlin, 1984.Google Scholar
[GM] Goresky, M. and Macpherson, R., Stratified Morse Theory. Ergebnisse der Mathematik und ihrer Grenzgebiete 14, Springer-Verlag, Berlin, 1988.Google Scholar
[G1] Grothendieck, A., Fondements de Géometrie Algébrique. Sminaire Bourbaki 7 , Soc. Math. France, Paris, pp. 297307.Google Scholar
[G2] Grothendieck, A., Hodge's general conjecture is false for trivial reasons. Topology 8(1969), 299303.Google Scholar
[I] Iversen, B., Cohomology of Sheaves. Springer-Verlag, Berlin, 1986.Google Scholar
[L] Lewis, J., A survey of the Hodge conjecture. Second edition. CRM Monograph Series 10. American Mathematical Society, Providence, RI, 1999.Google Scholar
[V] Verdier, J.-L., Classes d’homologie d’un cycle. In: Séminaire de géométrie anaytique, Astérisque 36-37, Soc. Math. France, Paris, 1976, pp. 101151.Google Scholar